We consider a model of oligopolistic firms that have private information about their cost structure. Prior to competing in the market a competitive advantage, i.e., a cost reducing technology, is allocated to a subset of the firms by means of a multi-object auction. After the auction either all...

In an auction with a buy price, the seller provides bidders with an option to end the auction early by accepting a transaction at a posted price. This paper develops a model of an auction with a buy price in which bidders use the auction's reserve price and buy price to formulate a reference...

This study explores stability in efficient collusion in government procurement auctions. In first- and second-price auctions with independent private values, we look at the possibility of vetoing collusion mechanisms and the learning of the other bidders after vetoing. The collusions in...

We consider common-value hybrid auctions among two asymmetrically informed bidders, where the winning bidder pays his bid with some positive probability k and the losing bid otherwise. Under the assumption of discrete and affiliated signals, we give an explicit characterization of the (unique)...

Two potentially asymmetric players compete for a prize of common value, which is initially unknown, by exerting efforts. A designer has two instruments for contest design. First, she decides whether and how to disclose an informative signal of the prize value to players. Second, she sets the...

A seller wishes to sell an object to one of multiple bidders. The valuations of the bidders are privately known. We consider the joint design problem in which the seller can decide the accuracy by which bidders learn their valuation and to whom to sell at what price. We establish that optimal...

We consider imperfectly discriminating, common-value, all-pay auctions (or contests) where some players know the value of the prize, others do not. We show that if the prize is always of positive value, then all players are active in equilibrium. If the prize is of value zero with positive...

We prove the existence of monotonic pure strategy equilibrium for many types of asymmetric auctions with n bidders and unitary demands, interdependent values and independent types. The assumptions require monotonicity only in the own bidder's type. The payments can be a function of all bids....

We show the existence of a pure strategy, symmetric, increasing equilibrium in double auction markets with correlated private valuations and many participants. The equilibrium we find is arbitrarily close to fully revealing as the market size grows. Our results provide strategic foundations for...

As a selling mechanism, auctions have acquired a central position in the free market economy all over the globe. This development has deepened, broadened, and expanded the theory of auctions in new directions. This chapter is intended as a selective update of some of the developments and...